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574004016 = 24332714903
BaseRepresentation
bin100010001101101…
…001101100110000
31111000002102111000
4202031221230300
52133421112031
6132542522000
720136645045
oct4215515460
91430072430
10574004016
11275012793
12140296300
1391bc6261
145633b1cc
15355d53e6
hex22369b30

574004016 has 80 divisors (see below), whose sum is σ = 1654021120. Its totient is φ = 190589760.

The previous prime is 574004009. The next prime is 574004021. The reversal of 574004016 is 610400475.

It is a super-2 number, since 2×5740040162 = 658961220768256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114621 + ... + 119523.

It is an arithmetic number, because the mean of its divisors is an integer number (20675264).

Almost surely, 2574004016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827010560).

574004016 is an abundant number, since it is smaller than the sum of its proper divisors (1080017104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

574004016 is a wasteful number, since it uses less digits than its factorization.

574004016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 574004016 is about 23958.3809135759. The cubic root of 574004016 is about 831.0713489026.

It can be divided in two parts, 57400 and 4016, that added together give a palindrome (61416).

The spelling of 574004016 in words is "five hundred seventy-four million, four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2168 2439 3252 4336 4878 4903 6504 7317 9756 9806 13008 14634 14709 19512 19612 29268 29418 39024 39224 44127 58536 58836 78448 88254 117072 117672 132381 176508 235344 264762 353016 529524 706032 1059048 1328713 2118096 2657426 3986139 5314852 7972278 10629704 11958417 15944556 21259408 23916834 31889112 35875251 47833668 63778224 71750502 95667336 143501004 191334672 287002008 574004016